Introduction to Polynomials

Tutoring on Introduction to Polynomials

Learning Objectives:

Understand Polynomials.

Math Tutoring on Introduction to Polynomials

A Term can be a number, a variable, a product of numbers and/or variables, or a quotient of numbers and/or variables. A Monomial is a real number and or the product of variables with non-negative exponents. A Polynomial is a monomial or a sum of monomials.   Now, polynomials do have a further classification based upon the number of terms in the expression. For example, if we have monomials, mono means 1, so we have the 1 term. Binomials consist of two monomials connected with addition or subtraction. If the polynomial has 3 terms, it's called a Trinomial. The Degree of a term is the number of variable factors in that term that is it is the sum of the exponents on the variables. The Leading Term of a polynomial is the term of the highest degree. When in a polynomial the terms are in order from highest degree to lowest degree, it is called Descending Order. When two terms have variable factors or variable parts that are exactly the same, the terms are called Like or Similar Terms. The Distributive Law enables us to combine or collect like terms. In practice, it is often more convenient to identify the like terms and then add or subtract the coefficients and leave the variable part unchanged.



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Hook Questions:

1.    What is a Polynomial Expression?

2.    What is a Polynomial Function?

3.    How do you put a Polynomial in Standard Form?




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